5r-3r+3=6r-r

Solution for 5r-3r+3=6r-r equation:

Simplifying
5r + -3r + 3 = 6r + -1r

Reorder the terms:
3 + 5r + -3r = 6r + -1r

Combine like terms: 5r + -3r = 2r
3 + 2r = 6r + -1r

Combine like terms: 6r + -1r = 5r
3 + 2r = 5r

Solving
3 + 2r = 5r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5r' to each side of the equation.
3 + 2r + -5r = 5r + -5r

Combine like terms: 2r + -5r = -3r
3 + -3r = 5r + -5r

Combine like terms: 5r + -5r = 0
3 + -3r = 0

Add '-3' to each side of the equation.
3 + -3 + -3r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3r = 0 + -3
-3r = 0 + -3

Combine like terms: 0 + -3 = -3
-3r = -3

Divide each side by '-3'.
r = 1

Simplifying
r = 1